Simplify the expression $h\left(x\right)=x^3\left(x-1\right)^2$

Step-by-step Solution

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Final answer to the problem

$h\left(x\right)=x^3\left(x^2-2x+1\right)$
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Step-by-step Solution

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  • Write in simplest form
  • Solve by quadratic formula (general formula)
  • Find the derivative using the definition
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A binomial squared (difference) is equal to the square of the first term, minus the double product of the first by the second, plus the square of the second term. In other words: $(a-b)^2=a^2-2ab+b^2$

$h\left(x\right)=x^3\left(x^2-2x+1\right)$

Final answer to the problem

$h\left(x\right)=x^3\left(x^2-2x+1\right)$

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Function Plot

Plotting: $h\left(x\right)-x^3\left(x-1\right)^2$

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1
2
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5
6
7
8
9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

How to improve your answer:

Main Topic: Algebraic expressions

An algebraic expression is a group of terms that are separated by $+$ or $-$ signs.

Used Formulas

See formulas (1)

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